The density function at quantile x for the beta distribution for the given arguments.

The section on probability functions in the Using JMP book.

Returns the cumulative distribution function at quantile x for the beta distribution with shape arguments alpha and beta.

The section on probability functions in the Using JMP book.

The probability of the quantile desired; p must be between 0 and 1.

The section on probability functions in the Using JMP.

Returns the quantile from a Cauchy distribution, the value for which the probability is p that a random value would be lower.

The chi-square density at q of the chi-square with df degrees of freedom and optional non-centrality parameter center.

Returns the pth quantile from the chi-square distribution with df degrees of freedom, centered at center.

Returns the p-value from Dunnett’s multiple comparisons test.

A number that is the p-value.

Returns the F density at x for the F distribution with numerator and denominator degrees of freedom dfnum and dfden, with optional noncentrality parameter center.

Returns cumulative distribution function at quantile x for F distribution with numerator and denominator degrees of freedom dfnum and dfden and noncentrality parameter center.

Returns the pth quantile from the F distribution with numerator and denominator degrees of freedom dfnum and dfden and noncentrality parameter center.

Returns the probability that the Fréchet distribution with location mu and scale sigma is less than x.

Returns the quantile associated with a cumulative probability p for a Fréchet distribution with location mu and scale sigma.

The probability of the quantile desired; p must be between 0 and 1.

The density function at quantile q for the gamma density distribution for the given arguments.

The section on probability functions in the Using JMP.

Returns cumulative distribution function at quantile x for the gamma distribution with shape, scale, and threshold given.

Same as Log (1 – Gamma Distribution(x, alpha)) except that it has a much greater range.

Same as Log(Gamma Density(x, alpha)) except that it has a much greater range.

Same as Log(Gamma Distribution(x, alpha)) except that it has a much greater range.

Returns the pth quantile from the gamma distribution with the shape, scale, and threshold parameters given.

Returns the density at q of a generalized logarithmic distribution with location mu, scale sigma, and shape lambda.

Returns the probability that a generalized logarithmically distribution random variable is less than q.

Returns the quantile for whose value the probability is p that a random value would be lower.

Returns the density at q of a Johnson Sb distribution.

Returns the quantile whose value for which the probability is p that a random value would be lower.

The probability of the quantile desired; p must be between 0 and 1.

Returns the density at q of a Johnson Sl distribution.

A value that is in the interval theta to +infinity.

Parameter that defines if the distribution is skewed positively or negatively. Sigma must be equal to either +1 (skewed positively) or -1 (skewed negatively).

A value that is in the interval theta to +infinity.

Parameter that defines if the distribution is skewed positively or negatively. Sigma must be equal to either +1 (skewed positively) or -1 (skewed negatively).

Returns the quantile whose value for which the probability is p that a random value would be lower.

The probability of the quantile desired; p must be between 0 and 1.

Parameter that defines if the distribution is skewed positively or negatively. Sigma must be equal to either +1 (skewed positively) or -1 (skewed negatively).

Returns the density at q of a Johnson Su distribution.

Returns the quantile whose value for which the probability is p that a random value would be lower.

The probability of the quantile desired; p must be between 0 and 1.

Returns the density at x of the largest extreme value distribution with location mu and scale sigma.

Returns the probability that the largest extreme value distribution with location mu and scale sigma is less than x.

Returns the quantile associated with a cumulative probability p of the largest extreme value distribution with location mu and scale sigma.

Returns the probability that the logistic distribution with location mu and scale sigma is less than x.

Returns the quantile associated with a cumulative probability p of the logistic distribution with location mu and scale sigma.

Returns the probability that the loglogistic distribution with location mu and scale sigma is less than x.

Returns the quantile associated with a cumulative probability p of the loglogistic distribution with location mu and scale sigma.

Computes the probability that an observation (X, Y) is less than or equal to (x, y) with correlation coefficient r where X is individually normally distributed with mean mu1 and standard deviation s1 and Y is individually normally distributed with mean mu2 and standard deviation s2. If mu1, s1, mu2, and s2 are not given, the function assumes the standard normal bivariate distribution with mu1=0, s1=1, mu2=0, and s2=1.

Returns the value of the density function at quantile x for the normal distribution with mean and stddev. The default mean is 0; the default stddev is 1.

Returns the cumulative distribution function at quantile x for the normal distribution with mean and stddev. The default mean is 0. the default stddev is 1.

Returns 1 - log (value) of the distribution function at quantile x for the normal distribution.

Returns the log of the value of the density function at quantile x for the normal distribution.

Returns the log of the value of the distribution function at quantile x for the normal distribution.

Returns the density at q of a normal mixture distribution with group means mean, group standard deviations stdev, and group probabilities probability. The mean, stdev, and probability arguments are all vectors of the same size.

Returns the probability that a normal mixture distributed variable with group means mean, group standard deviations stdev, and group probabilities probability is less than q. The mean, stdev, and probability arguments are all vectors of the same size.

Returns the quantile, the values for which the probability is p that a random value would be lower. The mean, stdev, and probability arguments are all vectors of the same size.

Returns the pth quantile from the normal distribution with mean and stddev. The default mean is 0. the default stddev is 1.

Returns the probability that the smallest extreme distribution with location mu and scale sigma is less than x.

Returns the value of the density function at quantile x for the Student’s t distribution with degrees of freedom df.

Returns the probability that a Student’s t distributed random variable is less than q. NonCentrality defaults to 0.

Returns the pth quantile from the Student’s t distribution with degrees of freedom df. NonCentrality defaults to 0.

Returns the p-value from Tukey’s HSD multiple comparisons test.

Returns the value of the density function at quantile x for the Weibull distribution with the parameters given.

Returns the cumulative distribution function at quantile x for the Weibull distribution with the parameters given.

Returns the pth quantile from the Weibull distribution with the parameters given.